6840693699840 has 3456 divisors, whose sum is σ = 33406580293632. Its totient is φ = 1294244904960.

The previous prime is 6840693699811. The next prime is 6840693699881. The reversal of 6840693699840 is 489963960486.

6840693699840 is a `hidden beast` number, since 6 + 8 + 406 + 93 + 6 + 9 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39541581994 + ... + 39541582166.

It is an arithmetic number, because the mean of its divisors is an integer number (9666255872).

Almost surely, 2^{6840693699840} is an apocalyptic number.

6840693699840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6840693699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703290146816).

6840693699840 is an abundant number, since it is smaller than the sum of its proper divisors (26565886593792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6840693699840 is a wasteful number, since it uses less digits than its factorization.

6840693699840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 6840693699840 in words is "six trillion, eight hundred forty billion, six hundred ninety-three million, six hundred ninety-nine thousand, eight hundred forty".